10263
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Polar Plots of Legendre Polynomials
Show Legendre polynomials in polar coordinates.
Contributed by:
Stephen Wolfram
SNAPSHOTS
DETAILS
Legendre polynomials are solutions to the Legendre differential equation, which is a form of Laplace's equation in spherical coordinates. These forms commonly occur in antenna patterns and electron orbitals, among others.
RELATED LINKS
Polar Plot
(
Wolfram
MathWorld
)
Legendre Polynomial
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Polar Plots of Legendre Polynomials
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PolarPlotsOfLegendrePolynomials/
Contributed by:
Stephen Wolfram
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Plots of Legendre Polynomials
Stephen Wolfram
Plots of Zernike Polynomials
James C. Wyant
Ince Polynomials
Enrique Zeleny
Zernike Polynomials and Optical Aberration
Oleksandr Pavlyk and Jeff Bryant
Plots of Quantum Probability Density Functions in the Hydrogen Atom
Carlos Rodríguez Fernández and Andrés Santos
Spherical Harmonics
Stephen Wolfram
Spin-Weighted Spherical Harmonics
Satya Mohapatra
Radially Polarized Laser Beam Intensity Distributions
Yousef I. Salamin
Solution of a Nonlinear Schrödinger Equation
Enrique Zeleny
Canonical Integrals for Diffraction Catastrophes
Enrique Zeleny
Related Topics
Optics
Quantum Mechanics
Special Functions
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+